3 papers
math.NT2026
Counting number fields of fixed degree by their smallest defining polynomial
Santiago Arango-Piñeros, Fabian Gundlach, Robert J. Lemke Oliver +5
When do two irreducible polynomials with integer coefficients define the same number field? One can define an action of on the space of polynom…
math.NT2023
Replicable functions arising from code-lattice VOAs fixed by automorphisms
Lea Beneish, Jennifer Berg, Eva Goedhart +3
We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code a…
math.NT2022
Power-saving error terms for the number of -quartic extensions over a number field ordered by discriminant
Alina Bucur, Alexandra Florea, Allechar Serrano López +1
We study the asymptotic count of dihedral quartic extensions over a fixed number field with bounded norm of the relative discriminant. The main term of this count (including a summ…